First of all, I believe that you are an introvert. I think what you have wrong is the definition of an introvert, introverts do love socializing with people, they just are not as comfortable approaching people as extroverts are and need time in solitary to recuperate. I would say that you are definitely an INP, whether you are an F or a T I am not sure. Although I think you are more likely to be a T. I, myself, am an INFP.